Unformatted text preview: Give the Laurent series expansion about z = − 1 for the function f ( z ) = z 2 1 + z . 7. Find the Laurent series expansion of f ( z ) = 1 z 3 cos( 1 z 2 ) valid in the region  z  > 0. 8. Find the Frst three terms of the Laurent series for f ( z ) = 1 e z − 1 in the region <  z  < 2 π using longdivision with the Taylor series of e z − 1. 9. Find the Laurent series expansion in terms of z of f ( z ) = z 1 + z in the region 1 <  z  < ∞ . Write your answer in summation form. 10. Find the Laurent series expansion in terms of z of the function f ( z ) = 1 z ( z 2 + 1) about z = 0 and about z = ∞ . 1...
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 Fall '11
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 Power Series, Taylor Series, Laurent, series expansion

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